2440267560 has 160 divisors (see below), whose sum is σ = 8226088200. Its totient is φ = 648829440.

The previous prime is 2440267541. The next prime is 2440267591. The reversal of 2440267560 is 657620442.

It can be written as a sum of positive squares in 4 ways, for example, as 1778646276 + 661621284 = 42174^2 + 25722^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1363146 + ... + 1364934.

Almost surely, 2^2440267560 is an apocalyptic number.

2440267560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440267560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113044100).

2440267560 is an abundant number, since it is smaller than the sum of its proper divisors (5785820640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2440267560 is a wasteful number, since it uses less digits than its factorization.

2440267560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2440267560 is about 49399.0643636092. The cubic root of 2440267560 is about 1346.3123061456.

The spelling of 2440267560 in words is "two billion, four hundred forty million, two hundred sixty-seven thousand, five hundred sixty".